A.)Describe any patterns you observe in the way the differences change as the integers subtracted from 15 get smaller.
-The end sum gets larger by one each time
-The integers being subtracted from 15 get smaller by one each time
-The number 15 stays consistent
B.)Use the patterns that you observe to predict the answer to 15 - ˉ1. Check you prediction using a chip board or number line.
15 - ˉ1 = 16
C.)Predict the answer to 15 - ˉ4. Explain your reasoning
15 - ˉ4 = 19, because the negative signs turn to addition to solve this kind of problem so in the end you are left with 15 + 4 = 19.
Follow Up:
1.)Study the equations bellow.
ˉ10 – 5 = ˉ15
ˉ10 – 6 = ˉ14
ˉ10 – 7 = ˉ13
ˉ10 – 2 = ˉ12
ˉ10 – 1 = ˉ11
ˉ10 – 0 = ˉ10
A.)Describe any patterns that you observe in the way the differences change as the integers subtracted from ˉ10 get smaller.
-The difference gets smaller by one each time
-The integer being subtracted from ˉ10 gets larger by one each time
-ˉ10 always stays the same
B.)Use the patterns that you have observed to answer ˉ10 - ˉ1. Check your answer by using a chip board or a number line.
ˉ10 - ˉ1 = ˉ11
C.)Predict the answer for ˉ10 -ˉ6. Explain your reasoning.
In this case both the negatives turn into positive because it is equivalent to a addition problem.
ˉ10 -ˉ6 = ˉ16 because that is the same as saying 10 + 6 = 16
2.)When you add two negative integers, you get a negative sum. When you subtract two negative integers, do you always get a negative difference? Explain.
If you subtract two negative integers the outcome will always be a positive number.
Zareen T. Khan
Sunday, May 04, 2008
Block 7F: Math
Day 54
Journal 3.3: Exploring Patterns
Notes: *None Taken*
A.) Describe any patterns you observe in the way the differences change as the integers subtracted from 15 get smaller.
- The end sum gets larger by one each time
- The integers being subtracted from 15 get smaller by one each time
- The number 15 stays consistent
B.) Use the patterns that you observe to predict the answer to 15 - ˉ1. Check you prediction using a chip board or number line.
15 - ˉ1 = 16
C.) Predict the answer to 15 - ˉ4. Explain your reasoning
15 - ˉ4 = 19, because the negative signs turn to addition to solve this kind of problem so in the end you are left with 15 + 4 = 19.
Follow Up:
1.) Study the equations bellow.
ˉ10 – 5 = ˉ15
ˉ10 – 6 = ˉ14
ˉ10 – 7 = ˉ13
ˉ10 – 2 = ˉ12
ˉ10 – 1 = ˉ11
ˉ10 – 0 = ˉ10
A.) Describe any patterns that you observe in the way the differences change as the integers subtracted from ˉ10 get smaller.
- The difference gets smaller by one each time
- The integer being subtracted from ˉ10 gets larger by one each time
- ˉ10 always stays the same
B.) Use the patterns that you have observed to answer ˉ10 - ˉ1. Check your answer by using a chip board or a number line.
ˉ10 - ˉ1 = ˉ11
C.) Predict the answer for ˉ10 -ˉ6. Explain your reasoning.
In this case both the negatives turn into positive because it is equivalent to a addition problem.
ˉ10 -ˉ6 = ˉ16 because that is the same as saying 10 + 6 = 16
2.) When you add two negative integers, you get a negative sum. When you subtract two negative integers, do you always get a negative difference? Explain.
If you subtract two negative integers the outcome will always be a positive number.